formal series
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11—20 of 22 matching pages
11: 28.31 Equations of Whittaker–Hill and Ince
12: 2.3 Integrals of a Real Variable
13: 2.7 Differential Equations
14: 27.5 Inversion Formulas
15: 16.2 Definition and Analytic Properties
16: 18.38 Mathematical Applications
Differential Equations
►Linear ordinary differential equations can be solved directly in series of Chebyshev polynomials (or other OP’s) by a method originated by Clenshaw (1957). … ►However, by using Hirota’s technique of bilinear formalism of soliton theory, Nakamura (1996) shows that a wide class of exact solutions of the Toda equation can be expressed in terms of various special functions, and in particular classical OP’s. …17: 2.9 Difference Equations
18: 1.12 Continued Fractions
19: Software Index
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25.21(ix) Dirichlet $L$-series | ✓ | a | ✓ | ✓ | |||||||||||||||||||||
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These are collections of software (e.g. libraries) or interactive systems of a somewhat broad scope. Contents may be adapted from research software or may be contributed by project participants who donate their services to the project. The software is made freely available to the public, typically in source code form. While formal support of the collection may not be provided by its developers, within active projects there is often a core group who donate time to consider bug reports and make updates to the collection.
An increasing number of published books have included digital media containing software described in the book. Often, the collection of software covers a fairly broad area. Such software is typically developed by the book author. While it is not professionally packaged, it often provides a useful tool for readers to experiment with the concepts discussed in the book. The software itself is typically not formally supported by its authors.